NON-SYMMETRIC FINITE NETWORKS: THE TWO-POINT RESISTANCE

被引:9
|
作者
Cernanova, Viera [1 ]
Brenkus, Juraj [2 ]
Stopjakova, Viera [2 ]
机构
[1] Slovak Univ Technol Bratislava, Fac Elect Engn & Informat Technol, Inst Comp Sci & Math, Bratislava, Slovakia
[2] Slovak Univ Technol Bratislava, Fac Elect Engn & Informat Technol, Inst Elect & Photon, Bratislava, Slovakia
关键词
electronic circuit; fault analysis; non-symmetric Laplacian matrix; resistance computation;
D O I
10.2478/jee-2014-0045
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
An explicit formula for the resistance between two nodes in a network described by non-symmetric Laplacian matrix L is obtained. This is of great advantage eg in electronic circuit fault analysis, where non-linear systems have to be solved repeatedly. Analysis time can be greatly reduced by utilization of the obtained formula. The presented approach is based on the "mutual orthogonality" of the full system of left and right-hand eigenvectors of a diagonalizable matrix L. Simple examples are given to demonstrate the accuracy of this approach to circuit networks.
引用
收藏
页码:283 / 288
页数:6
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